GCF of 9814/698, 1280/2141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9814/698, 1280/2141 i.e 2/1494418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9814/698, 1280/2141.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9814/698,1280/2141?
Given fractions are 9814/698,1280/2141
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9814/698,1280/2141, numerators are 9814,1280
Denominators are 698,2141
The GCF of 9814,1280 is 2 .
LCM of 698,2141 is 1494418.
The greatest common factor of 9814/698,1280/2141 = [GCF of 9814,1280]/[LCM of 698,2141]= 2/1494418
Therefore, the GCF of 9814/698,1280/2141 is 2/1494418.
To find the highest common factor of 9814,1280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The HCF of 9814,1280 is 2.
Lets's calculate GCF of 9814,1280
| 2 | 9814, 1280 |
| 4907, 640 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9814,1280 By Matching Biggest Common Factor Method
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Greatest Common Factor
We found the factors 9814,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,1280 is 2.
Lets's calculate LCM of 698,2141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1494418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1494418
Therefore, the GCF of Fractions 9814/698,1280/2141 is 2/1494418
Least Common Multiple of 698,2141 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 698,2141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,2141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,2141) x common factors =1 x 1 = 1
LCM(698,2141) = ( 698 × 2141 ) / 1
LCM(698,2141) = 1494418 / 1
LCM(698,2141) = 1494418
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FAQs on GCF of Fractions of 9814/698, 1280/2141
1. What is the HCF of 9814,1280?
The HCF of 9814,1280 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9814/698, 1280/2141?
Answer: GCF of Numerators as per given numbers 9814/698, 1280/2141 is
GCF of Numerators i.e. for 9814,1280 is 2
LCM of denominators i.e. for 698,2141 is 1494418.
Thus, GCF of Fractions is 2/1494418.Finally, GCF of Fractions for 9814/698, 1280/2141 is 2/1494418.